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Finding the Fourth Proportional to 13,718, 18,931.65 and 7,749.52

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Solution

The fourth proportional to 13,718, 18,931.65 and 7,749.52 is: 10,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718 : 18,931.65 = 7,749.52 : x
  2. Step 2: Convert to fraction form
    13,718/18,931.65 = 7,749.52/x
  3. Step 3: Cross multiply
    13,718x = 18,931.65 × 7,749.52
  4. Step 4: Simplify right side
    13,718x = 146,711,200.31
  5. Step 5: Solve for x
    x = 146,711,200.31/13,718
  6. Step 6: Final answer
    x = 10,694.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.